λ
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3,373,374

2 × 3 × 19 × 127 × 233
Abundant Even Composite

3,373,374 factors as 2 × 3 × 19 × 127 × 233. Its 32 positive divisors give a proper-divisor sum of 3,815,106, so this integer is abundant. The Collatz stopping time is 296 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 127 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,188,480
Proper Divisor Sum 3,815,106
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3373343 ← → #3373411

Radix Representation

Decimal 3373374
Binary 1100110111100100111110 (22 bits)
Octal 0o14674476
Hexadecimal 0x33793E

Divisor Catalog (32)

1 2 3 6 19 38 57 114 127 233 254 381 466 699 762 1,398 2,413 4,427 4,826 7,239 8,854 13,281 14,478 26,562 29,591 59,182 88,773 177,546 562,229 1,124,458 1,686,687 3,373,374

Collatz Trajectory (296 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,373,374 1,686,687 5,060,062 2,530,031 7,590,094 3,795,047 11,385,142 5,692,571 17,077,714 8,538,857 25,616,572 12,808,286 6,404,143 19,212,430 9,606,215 28,818,646 14,409,323 43,227,970 21,613,985 64,841,956 32,420,978 16,210,489 48,631,468 24,315,734 12,157,867 36,473,602 18,236,801 54,710,404 27,355,202 13,677,601 41,032,804 20,516,402 10,258,201 30,774,604 15,387,302 7,693,651 23,080,954 11,540,477 34,621,432 17,310,716 8,655,358 4,327,679 12,983,038 6,491,519 19,474,558 9,737,279 29,211,838 14,605,919 43,817,758 21,908,879 65,726,638 32,863,319 98,589,958 49,294,979 147,884,938 73,942,469 221,827,408 110,913,704 55,456,852 27,728,426

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